Ungleichung (Wiederholung)

Bestimmen Sie alle x der folgenden Ungleichungen : 1. \(\frac{x-2}{x+5}>0\) \(\quad\quad\quad ,x_{1}\in\) [blank_start]a[blank_end] \(\cup\) [blank_start]b[blank_end] 2. \(\frac{1}{1-x}+\frac{2}{3x-3}>0\) \(\quad\quad\quad ,x_{2}\in\) [blank_start]a[blank_end] 3. \(x-|2x-12| \ge 0\) \(\quad\quad\quad ,x_{3}\in\) [blank_start]a[blank_end] 4. \(|x+1|-|2x-6| \le 10\) \(\quad\quad\quad ,x_{4}\in\) [blank_start]a[blank_end] 5. \(\sqrt{x^2 -5}<8\) \(\quad\quad\quad ,x_{5}\in\) [blank_start]a[blank_end] \(\cup\) [blank_start]b[blank_end] 6. \(\sqrt{x+1}<\sqrt{3x-9}\) \(\quad\quad\quad ,x_{6}\in\) [blank_start]a[blank_end] 7. \(\log_{2} x + \log_{2} 3 \le \log_{2} 6\) \(\quad\quad\quad ,x_{7}\in\) [blank_start]a[blank_end] 8. \(2^{x^2 -x -10} \le \frac{1}{16}\) \(\quad\quad\quad ,x_{8}\in\) [blank_start]a[blank_end] 9. \(e^{x} -2e^{-x} \ge 1\) \(\quad\quad\quad ,x_{9}\in\) [blank_start]a[blank_end] 10. \(\frac{\sqrt{|x-2|}}{x-1}<1\) \(\quad\quad\quad ,x_{10}\in\) [blank_start]a[blank_end] \(\cup\) [blank_start]b[blank_end]